00:01
We're being asked to find a formula to find the nth term in our given arithmetic sequence, 852, negative 1, negative 4, etc.
00:09
Well, remember, the general formula that we use is a sub n is equal to a sub 1 plus the quantity of n minus 1 times d.
00:18
So, to find a formula for this particular sequence, we need to know our a sub 1 value and our d value.
00:25
Well, remember, a sub 1 represents the first term in the sequence, which in this case is 8.
00:32
And d represents the constant that's getting added.
00:35
Well, in this case, we're adding a negative 3 to get from one term to the next.
00:41
So because we're adding a negative 3, our common difference is negative 3.
00:47
So now we simply need to substitute 8 in for a sub 1 and negative 3 in for d...